Weight Filtration on Log Crystalline Site

26 avr. 2024, 11:00
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Prof. Atsushi Shiho (University of Tokyo)

Description

Let $p$ be a prime. For a family of simple normal crossing log varieties on which $p$ is nilpotent, we construct a filtered complex on certain log crystalline site which gives rise to the weight filtered $p$-adic Steenbrink complex defined by Mokrane and Nakkajima when we project it to the Zariski site.

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